～ものか (〜mono ka)
Explanation
Definitely not; no way; no chance.
Formation
Verb-casual + ものか, い-Adjective + ものか, な-Adjective + (な)ものか, Noun + (な)ものか
Detailed Explanation
The ～ものか grammar point is used to express a strong denial, refusal, or astonishment. It often appears with a rhetorical question tone in casual forms, such as Verb (dictionary/volitional/～たい) + ものか, Adjective + ものか, or Noun + ものか, meaning 'No way...', 'As if I'd ever...', etc.
Examples
そんなこと、僕がやりたいものか。
Sonna koto, boku ga yaritai mono ka.
No way do I want to do such a thing.
こんな仕事、誰が引き受けようものか。
Konna shigoto, dare ga hikiukeyou mono ka.
Who on earth would take on a job like this? (No one would!)
誰が彼に助けを求めようものか。
Dare ga kare ni tasuke o motomeyou mono ka.
Who would ever ask him for help? (Certainly no one!)
この寒い日に外で遊ぶなんて、無理なものか。
Kono samui hi ni soto de asobu nante, muri na mono ka.
There's no way we can play outside on a day this cold.
Grammar content sourced from hanabira.org.